Answer:
k = 3
Step-by-step explanation:
-12 = 3 - 2k - 3k
-12 = 3 - 5k
5k = 15
k = 3
Answer:
Correct answer: Fourth answer As = 73.06 m²
Step-by-step explanation:
Given:
Radius of circle R = 16 m
Angle of circular section θ = π/2
The area of a segment is obtained by subtracting from the area of the circular section the area of an right-angled right triangle.
We calculate the circular section area using the formula:
Acs = R²· θ / 2
We calculate the area of an right-angled right triangle using the formula:
Art = R² / 2
The area of a segment is:
As = Acs - Art = R²· θ / 2 - R² / 2 = R² / 2 ( θ - 1)
As = 16² / 2 · ( π/2 - 1) = 256 / 2 · ( 1.570796 - 1) = 128 · 0.570796 = 73.06 m²
As = 73.06 m²
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Answer:
<em>Writing 6(3x + 8) + 32 + 12x in 3 different ways:</em>
∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac
- w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80
- w₂ = 30x + 80 ∵ 18x + 12x = 30x
Step-by-step explanation:
As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,
Let way one be denoted as w₁
Let way two be denoted as w₂
Let way three be denoted as w₃
So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:
∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac
- w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80
- w₂ = 30x + 80 ∵ 18x + 12x = 30x
<em>Keywords: operation properties, distributive law</em>
<em>Learn more about operation properties from brainly.com/question/13754344</em>
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Answer:
t ≈ -2.014 or 3.647
Step-by-step explanation:
Add the opposite of the expression on the right side of the equal sign to put the equation into standard form.
4.9t² -8t -36 = 0
You can divide by 4.9 to make this a little easier to solve.
t² -(8/4.9)t -36/4.9 = 0
Now, add and subtract the square of half the x-coefficient to "complete the square."
t² -(8/4.9)t +(4/4.9)² -36/4.9 -(4/4.9)² = 0
(t -4/4.9)² -192.4/4.9² = 0 . . . . simplify
Add the constant term, then take the square root.
(t -4/4.9)² = 192.4/4.9²
t -4/4.9 = ±(√192.4)/4.9
t = (4 ± √192.4)/4.9
t ≈ {-2.014, 3.647}